RELIABILITY ANALYSIS TO INDUSTRIAL ACTIVE STANDBY REDUNDANT SYSTEM
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Published:
Oct 31, 2020
Keywords:
Geometric distribution, Availability, Inspection, Busy period and Proï¬t function
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Abstract
The present paper is contributed for the analysis of system possessing cold standby i.e. active standby redundancy mode. Initially, both similar units are observed to be in operative situation. The inspection procedure for failed units has been introduced who inspect the exact failure and communicate the repairman to repair the exact failed part of unit by replacing with new one with same performance capacity. As the system is following discrete mechanism so the results related to system reliability like MTSF, system availability in operative state, repair failed time are obtained with application of geometric distribution regenerative technique. Graphical analysis had also been workout for analyzing the behaviour of proï¬t function with increasing/decreasing rate of repair mechanism and failure rate.
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How to Cite
Bhatti, J., Kakkar, M. K., Bhardwaj, N., Kaur, M., & G., D. (2020). RELIABILITY ANALYSIS TO INDUSTRIAL ACTIVE STANDBY REDUNDANT SYSTEM. Malaysian Journal of Science, 39(3), 74–84. https://doi.org/10.22452/mjs.vol39no3.6
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References
Said, K.M.EL., Salah, M., Sherbeny, EL., “Proï¬t analysis of a two-unit cold standby system with preventive maintenance and random change in unitsâ€, Journal of Mathematics and Statistics, Vol. 1(1), pp. 71–77, 2005.
Haggag, M.Y., “Cost Analysis of a System Involving Common Cause Failures and Preventive Maintenanceâ€, J. Math and Stat., Vol. 5(4), pp. 305–310, 2009.
Haggag, M.Y., “Cost analysis of two-dissimilar unit cold standby system with three states and preventive maintenance using linear ï¬rst order differential equationsâ€, J. Math and Stat., Vol. 5(4), pp. 395–400, 2009.
Agarwal, S.C., Sahani, M., Bansal, S., “Reliability characteristic of cold-standby redundant systemâ€, International Journal of Recent Research and Applied Studies, Vol. 3(2), pp. 193–199, 2010.
Rizwan, S. M., Khurana, V., Taneja, G., “Reliability Analysis of a Hot Standby Industrial Systemâ€, International Journal of Modelling and Simulation, Vol. 30(3), pp. 315–322, 2010.
Gupta, S., Gupta, S.K., “Stochastic analysis of a reliability model of one-unit system with post inspection, post repair, preventive maintenance and replacementâ€, International Journal of Mechanical Engineering and Robotics Research, Vol. 2(2), pp. 178– 188, 2013.
Singh, D., Taneja, G., “Reliability and economic analysis of a power generating system comprising one gas and one steam turbine with random inspectionâ€, Journal of Mathematics and Statistics, Vol. 10(4), pp. 436–442, 2014.
Malhotra, R., Taneja, G., “Stochastic analysis of a two-unit cold standby system wherein both units may become operative depending upon the demandâ€, Journal of Quality and Reliability Engineering, pp. 1–13, 2014.
Kakkar, M. K., Bhatti, J., “Reliability and proï¬t analysis of standby unit system with correlated life time in an industryâ€, Advance Study in Contemporary Mathematics, Vol. 25(3), pp. 333–340, 2015.
Kakkar, M. K., Chitkara, A. K., Bhatti, J., “Reliability analysis of two-unit parallel repairable industrial systemâ€, Decision Science Letters, Vol. 4, pp. 525–536, 2015.
Kakkar, M.K., Chitkara, A.K., Bhatti, J., “Reliability analysis of two dissimilar parallel unit repairable system with failure during preventive maintenanceâ€, Management Science Letters, Vol. 6, pp. 285-296, 2016.
Kakkar, M.K, Bhatti, J, Malhotra, R., Kaur, M. Goyal, D, Availability Analysis of an Industrial System under the Provision of Replacement of a Unit using Genetic Algorithm, International Journal of Innovative Technology and Exploring Engineering (IJITEE), Vol. 9, pp. 1236-1241, 2019.
Taj, S.Z., Rizwan, S.M., Alkali, B.M., Harrison, D.K., Taneja, G., “Probabilistic modeling and analysis of a cable plant subsystem with priority to repair over preventive maintenanceâ€, I-Managers Journal on Mathematics, Vol. 6(3), pp. 12–21, 2017.
Adlakha, N., Taneja, G., Shilpi, “Reliability and cost-beneï¬t analysis of a two-unit cold standby system used for communication through satellite with assembling and activation timeâ€, International Journal of Applied Engineering Research, Vol. 12(20), pp. 9697–9702, 2017.
Bhardwaj, N., Kumar, A., Kumar, S., “Stochastic analysis of a single unit redundant system with two kinds of failure and repairsâ€, Reflections des. ERA-JMS, Vol. 3(2), pp. 115–134, 2008.
Bhardwaj, N., “Analysis of two-unit redundant system with imperfect switching and connection timeâ€, International Transactions in Mathematical Sciences and Computer, Vol. 2(2), pp. 195–202, 2009.
Bhardwaj, N., Bhatti, J., Parashar, B., Sharma, N., “Stochastic analysis of standby system with different failureâ€, International Journal of Applied Engineering Research, Vol. 10(35), pp. 27553–27563, 2015.
Bhatti, J., Chitkara, A., Kakkar, M., “Stochastic analysis of parallel system with two discrete failuresâ€, Model Assisted Statistics and Applications, Vol. 9, pp. 257-265, 2014.
Bhatti, J., Chitkara, A., Kakkar, M., “Stochastic analysis of dis-similar standby system with discrete failureâ€, inspection and replacement policy, Demonstratio Mathematica, Vol. 49(2), pp. 224–235, 2016.
Bhardwaj, N., Parashar, B., “Stochastic Reliability Analysis of Two Identical Cold Standby Units with Geometric Failure and Repair Ratesâ€, Mathematical Journal of Interdisciplinary Sciences, Vol. 5(2), pp. 131-142, 2017.
Bhatti, J., Kakkar, M., “Reliability analysis of cold standby parallel system possessing failure and repair rate under geometric distributionâ€, Recent Advances in Computer Science and Communications, Vol.13(1), 2020.
Haggag, M.Y., “Cost Analysis of a System Involving Common Cause Failures and Preventive Maintenanceâ€, J. Math and Stat., Vol. 5(4), pp. 305–310, 2009.
Haggag, M.Y., “Cost analysis of two-dissimilar unit cold standby system with three states and preventive maintenance using linear ï¬rst order differential equationsâ€, J. Math and Stat., Vol. 5(4), pp. 395–400, 2009.
Agarwal, S.C., Sahani, M., Bansal, S., “Reliability characteristic of cold-standby redundant systemâ€, International Journal of Recent Research and Applied Studies, Vol. 3(2), pp. 193–199, 2010.
Rizwan, S. M., Khurana, V., Taneja, G., “Reliability Analysis of a Hot Standby Industrial Systemâ€, International Journal of Modelling and Simulation, Vol. 30(3), pp. 315–322, 2010.
Gupta, S., Gupta, S.K., “Stochastic analysis of a reliability model of one-unit system with post inspection, post repair, preventive maintenance and replacementâ€, International Journal of Mechanical Engineering and Robotics Research, Vol. 2(2), pp. 178– 188, 2013.
Singh, D., Taneja, G., “Reliability and economic analysis of a power generating system comprising one gas and one steam turbine with random inspectionâ€, Journal of Mathematics and Statistics, Vol. 10(4), pp. 436–442, 2014.
Malhotra, R., Taneja, G., “Stochastic analysis of a two-unit cold standby system wherein both units may become operative depending upon the demandâ€, Journal of Quality and Reliability Engineering, pp. 1–13, 2014.
Kakkar, M. K., Bhatti, J., “Reliability and proï¬t analysis of standby unit system with correlated life time in an industryâ€, Advance Study in Contemporary Mathematics, Vol. 25(3), pp. 333–340, 2015.
Kakkar, M. K., Chitkara, A. K., Bhatti, J., “Reliability analysis of two-unit parallel repairable industrial systemâ€, Decision Science Letters, Vol. 4, pp. 525–536, 2015.
Kakkar, M.K., Chitkara, A.K., Bhatti, J., “Reliability analysis of two dissimilar parallel unit repairable system with failure during preventive maintenanceâ€, Management Science Letters, Vol. 6, pp. 285-296, 2016.
Kakkar, M.K, Bhatti, J, Malhotra, R., Kaur, M. Goyal, D, Availability Analysis of an Industrial System under the Provision of Replacement of a Unit using Genetic Algorithm, International Journal of Innovative Technology and Exploring Engineering (IJITEE), Vol. 9, pp. 1236-1241, 2019.
Taj, S.Z., Rizwan, S.M., Alkali, B.M., Harrison, D.K., Taneja, G., “Probabilistic modeling and analysis of a cable plant subsystem with priority to repair over preventive maintenanceâ€, I-Managers Journal on Mathematics, Vol. 6(3), pp. 12–21, 2017.
Adlakha, N., Taneja, G., Shilpi, “Reliability and cost-beneï¬t analysis of a two-unit cold standby system used for communication through satellite with assembling and activation timeâ€, International Journal of Applied Engineering Research, Vol. 12(20), pp. 9697–9702, 2017.
Bhardwaj, N., Kumar, A., Kumar, S., “Stochastic analysis of a single unit redundant system with two kinds of failure and repairsâ€, Reflections des. ERA-JMS, Vol. 3(2), pp. 115–134, 2008.
Bhardwaj, N., “Analysis of two-unit redundant system with imperfect switching and connection timeâ€, International Transactions in Mathematical Sciences and Computer, Vol. 2(2), pp. 195–202, 2009.
Bhardwaj, N., Bhatti, J., Parashar, B., Sharma, N., “Stochastic analysis of standby system with different failureâ€, International Journal of Applied Engineering Research, Vol. 10(35), pp. 27553–27563, 2015.
Bhatti, J., Chitkara, A., Kakkar, M., “Stochastic analysis of parallel system with two discrete failuresâ€, Model Assisted Statistics and Applications, Vol. 9, pp. 257-265, 2014.
Bhatti, J., Chitkara, A., Kakkar, M., “Stochastic analysis of dis-similar standby system with discrete failureâ€, inspection and replacement policy, Demonstratio Mathematica, Vol. 49(2), pp. 224–235, 2016.
Bhardwaj, N., Parashar, B., “Stochastic Reliability Analysis of Two Identical Cold Standby Units with Geometric Failure and Repair Ratesâ€, Mathematical Journal of Interdisciplinary Sciences, Vol. 5(2), pp. 131-142, 2017.
Bhatti, J., Kakkar, M., “Reliability analysis of cold standby parallel system possessing failure and repair rate under geometric distributionâ€, Recent Advances in Computer Science and Communications, Vol.13(1), 2020.